English

Some trigonometric integrals involving the log gamma and the digamma function

Classical Analysis and ODEs 2010-05-20 v1

Abstract

This paper considers various integrals where the integrand includes the log gamma function (or its derivative, the digamma function) multiplied by a trigonometric or hyperbolic function. Some apparently new integrals and series are evaluated.

Keywords

Cite

@article{arxiv.1005.3469,
  title  = {Some trigonometric integrals involving the log gamma and the digamma function},
  author = {Donal F. Connon},
  journal= {arXiv preprint arXiv:1005.3469},
  year   = {2010}
}
R2 v1 2026-06-21T15:25:04.722Z